Multiple Scattering of Radiation by an Arbitrary Configuration of Parallel Cylinders
Multiple Scattering of Radiation by an Arbitrary Configuration of Parallel Cylinders
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DOI：
10.1121/1.1906845
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发表时间：
1952
影响因子：
2.4
通讯作者：
V. Twersky
中科院分区：
文献类型：
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作者：
V. Twersky
对于平面声波或电磁波在任意平行柱面结构下的散射，我们得到了柱面波函数的形式解，其中考虑了其他柱面散射的辐射对特定柱面激发的所有可能贡献。在每个圆柱体表面同时满足任何通常规定的边界条件的解表示为入射波加上各种阶散射的和。一级散射（通常的单次散射近似）是由每一个圆柱体仅受平面波或一次激发而产生的。二阶是由每个柱体受到来自其余柱体的一阶散射的激励而产生的，以此类推，直至无限阶的散射。因此，第一阶由一个圆柱体散射的波组成；由两个圆柱等散射的二阶波。第m阶散射系数递归地表示为前几阶的散射系数，最后表示为单柱和汉克尔的m个散射系数与根据构型几何的三角函数的乘积和。
A formal solution in terms of cylindrical wave functions is obtained for the scattering of a plane acoustic or electromagnetic wave by an arbitrary configuration of parallel cylinders which takes into account all possible contributions to the excitation of a particular cylinder by the radiation scattered by the remaining cylinders. The solution, satisfying any of the usual prescribed boundary conditions simultaneously at the surface of each cylinder, is expressed as the incident wave plus a sum of various orders of scattering. The first order of scattering (the usual single scattering approximation) results from the excitation of each cylinder by only the plane wave or primary excitation. The second order results from the excitation of each cylinder by the first order of scattering from the remaining cylinders, and so on to an infinite order of scattering. The first order therefore consists of waves scattered by one cylinder; the second order of waves scattered by two cylinders, etc. The scattering coefficients of the m'th order of scattering are expressed recursively in terms of the previous orders, and finally as sums of products of m scattering coefficients of the single cylinder and Hankel and trigonometric functions depending on the geometry of the configuration.